`kali`

This page can be reached via

`kali`

's webpage at
http://www.math.umbc.edu/kali.
Kevin P. Allen and Matthias K. Gobbert, Department of Mathematics and Statistics, UMBC

*Publications:*

- Kevin P. Allen. Efficient Parallel Computing for Solving Linear Systems of Equations. UMBC Review: Journal of Undergraduate Research and Creative Works, vol. 5, pp. 8-17, 2004. Preprint in PDF-format.

Michael Reid, Matthias K. Gobbert, Department of Mathematics and Statistics, UMBC, and Timothy S. Cale, Process Evolution, Ltd. and School of Materials, Arizona State University

We design a spectral Galerkin method to discretize the velocity space by specially chosen basis functions. The basis functions in the expansion lead to a system of hyperbolic conservation laws with constant diagonal coefficient matrices for each of the linear Boltzmann equations. These systems of conservation laws are solved using the discontinuous Galerkin finite element method. Stability and convergence of the method are verified analytically and demonstrated numerically. As an application example, we simulate chemical vapor deposition at the feature scale in two and three spatial dimensions and analyze the effect of pressure. Finally, we present parallel performance results which indicate that the implementation of the method possesses excellent scalability on a Beowulf cluster with a high-performance Myrinet interconnect.

*Publications:*

- Matthias K. Gobbert, Samuel G. Webster, and Timothy S. Cale. A Galerkin Method for the Simulation of the Transient 2-D/2-D and 3-D/3-D Linear Boltzmann Equation. Journal of Scientific Computing, published online on February 17, 2006. Link to this article at SpringerLink and a preprint in PDF-format.
- Matthias K. Gobbert and Timothy S. Cale. Effect of the Knudsen Number on Transient Times During Chemical Vapor Deposition. International Journal for Multiscale Computational Engineering, vol. 4, no. 3, pp. 319-335, 2006. Preprint in PDF-format.
- Matthias K. Gobbert and Timothy S. Cale. A Kinetic Transport and Reaction Model and Simulator for Rarefied Gas Flow in the Transition Regime. Journal of Computational Physics, vol. 213, pp. 591-612, 2006. Link to Elsevier's ScienceDirect Service for this article and reprint in PDF-format.
- Matthias K. Gobbert, Mark L. Breitenbach, and Timothy S. Cale. Cluster Computing for Transient Simulations of the Linear Boltzmann Equation on Irregular Three-Dimensional Domains. In: Vaidy S. Sunderam, Geert Dick van Albada, Peter M. A. Sloot, and Jack J. Dongarra, editors, Computational Science - ICCS 2005, Lecture Notes in Computer Science, vol. 3516, pp. 41-48, Springer-Verlag, 2005.
- Samuel G. Webster. Stability and Convergence of a Spectral Galerkin Method for the Linear Boltzmann Equation. Ph.D. thesis, University of Maryland, Baltimore County, May 2004.

Madhu V. Nayakkankuppam, Department of Mathematics and Statistics, UMBC

*Publication:*

- Madhu V. Nayakkankuppam. Solving Large-Scale Semidefinite Programs in Parallel. Mathematical Programming, published online September 27, 2006.

Hai Zhang and Miodrag Rancic, Department of Physics, UMBC

For more information, see http://userpages.umbc.edu/~mrancic/GEF.html.

*Publications:*

- H. Zhang and M. Rancic. A global Eta model on quasi-uniform grids. Q.J.R. Meteorol. Soc., accepted, 2007. Reprint in PDF-format.
- M. Rancic and H. Zhang. Variable resolution on quasi-uniform grids: Linear advection experiments. Meteor. Atmos. Phys., vol. 93, pp. 97-114, 2006. Reprint in PDF-format.
- H. Zhang. A Global Eta Model on Quasi-Uniform Grids. Ph.D. thesis, University of Maryland, Baltimore County, May 2006.
- M. Rancic and H. Zhang. 10-day forecast with the variable resolution version of Global Eta Model. General Assembly of the European Geosciences Union, Vienna, Austria, 24-29 April 2005, NP5.01, 2005.
- M. Rancic and H. Zhang. Medium range weather forecasting using a variable resolution version of a Global Eta Model. Invited talk on ICTP Conference on Current Efforts Toward Advancing the Skill of Regional Weather Prediction: Challenges and Outlook. April 20 to 22, 2005, Trieste, Italy, 2005.
- M. Rancic and H. Zhang. Numerical modeling in Earth sciences: A globalization approach. In: The 6th World Multiconference on Systematics, Cybernetics and Informatics. Orlando, Florida, 14-18 July 2002. Vol. XVII, pp 90-94, 2002.
- M. Rancic and H. Zhang. A framework for globalization of regional atmospheric models: Dry core and quasi-uniform (QU) grids. In: Preprints, 15th Conference of Numerical Weather Prediction. San Antonio, Texas, 12-16 August 2002. American Meteorological Society, 4B6, 2002.

Wen Zhu and Stephen Freeland, Department of Biological Sciences, UMBC

`kali`

allowed the rapid completion
of large numbers of simulations.
*Publications:*

- Wen Zhu and Stephen J. Freeland. The Standard Genetic Code Enhances Adaptive Evolution of Proteins. Journal of Theoretical Biology, vol. 239, pp. 63-70, 2006.
- Wen Zhu and Stephen J. Freeland. Does the assumed connection between genotype and fitness matter for models of adaptive evolution? Evolution, accepted.

Michael Muscedere, Matthias K. Gobbert, Department of Mathematics and Statistics, UMBC

*Publications:*

- Matthias K. Gobbert. Configuration and Performance of a Beowulf Cluster for Large-Scale Scientific Simulations. Computing in Science and Engineering, vol. 7, no. 2, pp. 14-26, March/April 2005.

Anindya Roy, Department of Mathematics and Statistics, UMBC

Walter Pellegrini and Curtis R. Menyuk, Department of Computer Science and Electrical Engineering, UMBC, and John Zweck, Department of Mathematics and Statistics, UMBC

*Publications:*

- Walter Pellegrini, John Zweck, Curtis R. Menyuk, and Ronald Holzlöhner. Computation of Bit Error Ratios for a Dense WDM System using the Noise Covariance Matrix and Multicanonical Monte Carlo Methods. IEEE Photonics Technology Letters, vol. 17, no. 8, pp. 1644-1646, 2005.

Tetyana Vdovina, Oksana Korostyshevskaya, and Susan E. Minkoff, Department of Mathematics and Statistics, UMBC

*Publications:*

- Tetyana Vdovina , Susan E. Minkoff, and Oksana Korostyshevskaya. Operator Upscaling for the Acoustic Wave Equation. Multiscale Modeling and Simulation, vol. 4, no. 4, pp. 1305-1338, 2005.

Susan K. Gregurick, Rad Balu, Hailiang Zhang, and Eli Zukowski, Department of Chemistry and Biochemistry, UMBC

*Publications:*

- K. Siegrist, C. R. Bucher, I. Mandelbaum, A. R. Hight Walker, R. Balu, S. K. Gregurick, and D. F. Plusquellic. High-Resolution Terahertz Spectroscopy of Crystalline Trialanine: Extreme Sensitivity to Beta-Sheet Structure and Cocrystallized Water. Journal of the Americal Chemical Society, vol. 128, pp. 5764-5775, 2006.
- T. M. Korter, R. Balu, M. B. Campbell, M. C. Beard, S. K. Gregurick, and E. J. Heilweil. Terahertz Spectroscopy of Solid Serine and Cysteine, Chemical Physics Letters, vol. 418, pp. 65-70, 2006.

Sean Griffith, Shiming Yang, and Susan E. Minkoff, Department of Mathematics and Statistics, UMBC

This material is based upon work supported by the
National Science Foundation under Grant No. DMS-0215373.

Any opinions, findings, and conclusions or recommendations expressed
in this material are those of the author(s) and do not necessarily
reflect the views of the National Science Foundation.

Copyright © 2003-2008 by Matthias K. Gobbert. All Rights Reserved.

This page version 3.8, July 2008.